Giovannina Albano

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This chapter is concerned with the integration of research in mathematics education and e-learning. Its main aim is to provide a perspective on the teaching/learning opportunities offered by e-learning platforms in a blended learning setting, as experienced at the Universities of Salerno and of Piemonte Orientale. Two types of teaching actions have been set(More)
The problem of computing a minimal set of generators for the ideal of a rational parametric projective curve has been tackled by elimination theory and can be solved by the computation of Gröbner bases (see, for example Kalkbrener, 1991; Licciardi and Mora, 1994; Gao and Chou, 1992; Fix et al., 1996, and references therein). These methods have been(More)
This work shows an innovative solution in order to enable the predisposition to the mathematics, by using auto-regulation of learning objectives, personalization for obtaining, in such a way, a learning path more compliant to the learner's needs. For addressing these objectives, the learning platform IWT has been integrated with the Wolfram Mathematica(More)
This paper starts from the study of the epistemological statute of the didactics of the mathematics (Henry, 1991; D’Amore, 1999), which faces the phenomenon of learning from the point of view of fundaments, in order to give useful and specific considerations for e-learning environments. Investigations on how the triangle teacher-pupil-knowledge changes are(More)
In the present paper some algorithms are proposed for computing Linear Strands and Betti Numbers of graded modules over polynomial rings. These algorithms are based on a block-decomposition, induced by the Koszul syzygies, of the linear systems involved with the Hilbert's method for computing syzygies. Some further optimizations are suggested and applied by(More)